Question 421854
let the numbers be x y z
x+y+z=24
x=1/2(y+z)
2x=y+z
2x-y-z=0
x=4(y-z)
x=4y-4z
x-4y+4z=0
....
x+y+z=24	--------------1
2x-y-z=	0-------------2
x-4y+4z=	0-------------3
..
consider equation 1 &2															
Multiply 1 by 1								
Multiply 2 by 1								
we get															
x+y+z=24					
2x-y-z=0					
Add the two 															
3x=24	-------------4
consider equation 2 & 3															
Multiply 2 by -4											
Multiply 3 by 1											
we get 															
-8x+4y	+4z=0						
x-4y+4z	=0						
Add the two 								
-7x+8z=0	-------------5	
Consider (4) & (5)						
Multiply 4 by 7							
Multiply (5) by 	3							
we get															
21x=168									
-21x+24z	=0									
Add the two 								
24z=168									
/24									
z=7									
Plug the value of z in	5									
-7x+56=0									
-7x=-56									
x=8													
plug value of x & z in					1										
8+y+7=24								
y=-8-7+24								
y=9